428420808 has 96 divisors (see below), whose sum is σ = 1258671960. Its totient is φ = 131112960.

The previous prime is 428420807. The next prime is 428420827. The reversal of 428420808 is 808024824.

It can be written as a sum of positive squares in 4 ways, for example, as 388957284 + 39463524 = 19722^2 + 6282^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428420803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45916 + ... + 54452.

Almost surely, 2^428420808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428420808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629335980).

428420808 is an abundant number, since it is smaller than the sum of its proper divisors (830251152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428420808 is a wasteful number, since it uses less digits than its factorization.

428420808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 428420808 is about 20698.3286281767. The cubic root of 428420808 is about 753.8591063399.

The spelling of 428420808 in words is "four hundred twenty-eight million, four hundred twenty thousand, eight hundred eight".